Following corners on curves and surfaces in the scale space

  • Bruno Vasselle
  • Gérard Giraudon
  • Marc Berthod
Image Features
Part of the Lecture Notes in Computer Science book series (LNCS, volume 800)


This paper is devoted to an analytical study of extrema curvature evolution through scale-space. Our analytical study allows to get results which show that, from a qualitative point of view, corner evolution in scale-space has the same behavior for planar curves or surfaces. In particular, this analysis, performed with different corner-shape models, shows that, for a two-corner shape, two curvature maxima exist and merge at a certain scale σ0, depending on the shape. For a two-corner grey-level surface, the evolution of the determinant of hessian (DET) shows a merging point for a certain σ0 independently of contrast, and the evolution of Gaussian Curvature presents the same characteristic but this point evolves with contrast.


Gaussian Curvature Planar Curve Scale Space Planar Curf Curvature Maximum 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Bruno Vasselle
    • 1
  • Gérard Giraudon
    • 1
  • Marc Berthod
    • 1
  1. 1.INRIASophia-Antipolis CedexFrance

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